Extension of Matrices with Entries in H^∞ on Coverings of Riemann Surfaces of Finite Type

2008/01/11 by Alexander Brudnyi, Brudnyi, Alexander
Mathematics · #30D55 #30H05 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #math.CV #math.FA #msc:30D55 #msc:30H05

paper · pdf · doi:10.48550/arxiv.0801.1720

12 pages

arxiv created 2008/01/11 · openalex publication_date 2008/01/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper continuing our previous work we prove an extension theorem for matrices with entries in the algebra of bounded holomorphic functions defined on an unbranched covering of a Caratheodory hyperbolic Riemann surface of finite type.

Citations

• Projections in the Space H^∞ and the Corona Theorem for Coverings of Bordered Riemann Surfaces

Related

• A Grauert Type Theorem and Extension of Matrices with Entries in H^∞
• Corona Theorem for H^∞ on Coverings of Riemann Surfaces of Finite Type
• Projections in the Space H^∞ and the Corona Theorem for Coverings of Bordered Riemann Surfaces
• On Stable Rank of \mathbf H^∞ on Coverings of Finite Bordered Riemann Surfaces
• Finiteness theorems for holomorphic mappings from products of hyperbolic Riemann surfaces